Isometries of the Teichmüller metric
Marco Abate, Giorgio Patrizio (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marco Abate, Giorgio Patrizio (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A. Tayebi, H. Sadeghi (2015)
Annales Polonici Mathematici
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We study one of the open problems in Finsler geometry presented by Matsumoto-Shimada in 1977, about the existence of a concrete P-reducible metric, i.e. one which is not C-reducible. In order to do this, we study a class of Finsler metrics, called generalized P-reducible metrics, which contains the class of P-reducible metrics. We prove that every generalized P-reducible (α,β)-metric with vanishing S-curvature reduces to a Berwald metric or a C-reducible metric. It follows that there...
Samuel Krushkal (2007)
Open Mathematics
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The Grunsky and Teichmüller norms ϰ(f) and k(f) of a holomorphic univalent function f in a finitely connected domain D ∋ ∞ with quasiconformal extension to are related by ϰ(f) ≤ k(f). In 1985, Jürgen Moser conjectured that any univalent function in the disk Δ* = z: |z| > 1 can be approximated locally uniformly by functions with ϰ(f) < k(f). This conjecture has been recently proved by R. Kühnau and the author. In this paper, we prove that approximation is possible in a stronger...
Myung-Yull Pang (1992)
Publicacions Matemàtiques
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The structure of complex Finsler manifolds is studied when the Finsler metric has the property of the Kobayashi metric on convex domains: (real) geodesics locally extend to complex curves (extremal disks). It is shown that this property of the Finsler metric induces a complex foliation of the cotangent space closely related to geodesics. Each geodesic of the metric is then shown to have a unique extension to a maximal totally geodesic complex curve Σ which has properties of extremal...
Akbar Tayebi, Behzad Najafi (2012)
Annales Polonici Mathematici
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We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes...
Blank, Brian E., Fan, Dashan, Klein, David, Krantz, Steven G., Ma, Daowei, Pang, Myung-Yull (1992)
Experimental Mathematics
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Konik, Tadeusz (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Anastasiei, M., Shimada, H. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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M. S. Kahn (1980)
Publications de l'Institut Mathématique
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Jain, R.K., Sahu, H.K., Fisher, Brian (1996)
Novi Sad Journal of Mathematics
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Bal Kishan Dass, Lalita Khazanchi (1976)
Colloquium Mathematicae
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W. Kulpa (1976)
Colloquium Mathematicae
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